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If you imagine that sin(x), cos(x), -sin(x) and -cos(x) are on a wheel as shown below:

      sin(x)

-cos(x)  cos(x)

     -sin(x)

then going clock...

Firstly, we are given that f(x) can be expressed in the above form, so we write this out:

(19x-2)/((5-x)(1+6x)=A/(5-x)+B/(1+6x)

We then multiply by the denominator of f(x):<...